Transformations of Functions 4.24.24

Front

Transformation: Which of the following describes the transformation of the graph g(x) = x² + 5 from the parent function? Options: Translate 5 units up, Translate 5 units down, Translate 5 units to the right, Translate 5 units to the left.

Back

Translate 5 units up

Front

What key feature tells the lowest point on the roller coaster? Options: y-intercept, vertex, Axis of Symmetry, x-intercept

Back

vertex

Front

What key feature tells the initial height of the roller coaster? Options: y-intercept, x-intercept, axis of symmetry, vertex

Back

y-intercept

Front

What is the approximate lowest height of the roller coaster? Options: 120 feet, 3 feet, 25 feet, 170 feet

Back

25 feet

Front

Does this scenario have a max or a min?

Back

Max

Front

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

Back

a horizontal translation 4 units to the left

Front

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²? Options: a vertical translation 4 units up, a vertical translation 4 units down, a horizontal translation 4 units to the left, a horizontal translation 4 units to the right

Back

a horizontal translation 4 units to the left

Front

If the blue graph is f(x) = x², then the red must be...
Options: g(x) = x² - 5, g(x) = x² + 5, g(x) = (x - 5)², g(x) = (x + 5)²

Back

g(x) = x² - 5

Front

Vertex of the equation:
y=-3(x-2)² - 4?

Back

(2,-4)

Front

In the equation f(x)=5(x+3)²-10, what does the 5 do?

Back

Vertical stretch by 5